Compare 7/30 and 21/60
7/30 is smaller than 21/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 60 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
7/30 = 7 × 2/30 × 2 = 14/60 - Likewise, for the 2nd fraction, since 60 × 1 = 60,
21/60 = 21 × 1/60 × 1 = 21/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/60 < 21/60 or 7/30 < 21/60
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